Nuprl Definition : cubical-universe
c𝕌 ==  <λI.{unit-cube(I) ⊢ _(Kan)}, λI,J,f,AK. (AK)unit-cube-map(f)>
Wellformedness Lemmas : 
cubical-universe_wf
Definitions occuring in Statement : 
csm-Kan-cubical-type: (AK)s
, 
Kan-cubical-type: {X ⊢ _(Kan)}
, 
unit-cube-map: unit-cube-map(f)
, 
unit-cube: unit-cube(I)
, 
lambda: λx.A[x]
, 
pair: <a, b>
Definitions occuring in definition : 
pair: <a, b>
, 
Kan-cubical-type: {X ⊢ _(Kan)}
, 
lambda: λx.A[x]
, 
csm-Kan-cubical-type: (AK)s
, 
unit-cube: unit-cube(I)
, 
unit-cube-map: unit-cube-map(f)
FDL editor aliases : 
c-univ
c-univ
Latex:
c\mBbbU{}  ==    <\mlambda{}I.\{unit-cube(I)  \mvdash{}  \_(Kan)\},  \mlambda{}I,J,f,AK.  (AK)unit-cube-map(f)>
Date html generated:
2016_06_16-PM-08_06_39
Last ObjectModification:
2015_09_23-AM-09_34_58
Theory : cubical!sets
Home
Index